Moments expansions for the correlation energy of an exactly solvable problem

In this work we study the ground-state properties of the model Hamiltonian H=12∑i=1N−d2dxi2+ω2xi2+∑i,jNg2xij2, which represents a set of N one-dimensional correlated harmonic oscillators. Here the parameter g describes the coupling between oscillators and may be either real (attractive case) or pure...

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Bibliographic Details
Published in:Physics letters. A 1999-08, Vol.259 (3-4), p.280-284
Main Authors: Mancini, Jay D., Fessatidis, Vassilios, Bowen, Samuel P.
Format: Article
Language:English
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Summary:In this work we study the ground-state properties of the model Hamiltonian H=12∑i=1N−d2dxi2+ω2xi2+∑i,jNg2xij2, which represents a set of N one-dimensional correlated harmonic oscillators. Here the parameter g describes the coupling between oscillators and may be either real (attractive case) or purely imaginary (repulsive case). We wish to study the correlation energy of the system by two methods: the Lanczos tridiagonal scheme and a newly developed moments expansion AMX (alternate moments expansion). Comparisons will be made with other moments expansions, in particular the CMX−LT(2) and CMX−LT(3) series.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(99)00441-7